Predawn flights can be rather stressful. There are two reasons why.
1. There could be a problem with traffic on the highway to the airport.
2. You may oversleep the alarm.
Here is a solution.
There are sleep-and-park packages that combine a night at an airport hotel, a shuttle to the terminal and parking at the hotel for 7 to 14 days.
These deals often cost about the same as parking at the airport.
Check with these websites to compare rates